On the solution of the transfer equation system for a non-scattering medium with a homogeneous magnetic field

✍ Scribed by J. M. Katz

• Publisher: Springer
• Year: 1971
• Tongue: English
• Weight: 106 KB
• Volume: 20
• Category: Article
• ISSN: 0038-0938
• DOI: 10.1007/bf00159766

✦ Synopsis

The exact solution of the boundary problem for the system of three transfer equations with Unno's absorption matrix was obtained by Kjeldseth Moe (1968) who studied the formation of Fraunhofer lines in a magnetoactive atmosphere.

This paper describes another method, which gives the exact solution of the boundary problem for a transfer equation system of any order with an arbitrary absorption matrix, able however to satisfy condition (4).

The main assumptions are the same as in Moe:

(1) The atmosphere is supposed to be plane-parallel.

(2) In the atmosphere the magnetic field is stationary and homogeneous.

(3) The light scattering is omitted.

According to these assumptions we have the following boundary problem for the polarized radiation field: